## Analysis and Applied Mathematics Seminar

Xiaoan Shen

University of Illinois Chicago

Semiclassical wave packets for weakly nonlinear Schrödinger equations with rotation

**Abstract:**We consider semiclassically scaled, weakly nonlinear Schrödinger equations with external confining potentials and additional angular-momentum rotation term. This type of model arises in the Gross-Pitaevskii theory of trapped, rotating quantum gases. We construct asymptotic solutions in the form of semiclassical wave-packets, which are concentrated in both space and in frequency around a classical Hamiltonian phase-space flow. The rotation term is thereby seen to alter this flow, but not the corresponding classical action.

Monday September 9, 2024 at 4:00 PM in 636 SEO